Temperature-Dependent Frequency Shifts in Collective Excitations of a Bose-Einstein Condensate

By including the contribution of the thermal cloud to the Lagrangian of the condensate of a Bose gas, we extend the time-dependent variational method at zero temperature to study temperature-dependent low collective excitation modes. A Gaussian trial wave function of the condensate and a static distribution density of the thermal cloud are used, and analytical expressions for temperature-dependent excitation frequencies obtained. Theoretical results are compared with measurements in the JILA and MIT experiments.Comment: 13 pages, RevTex, 2 EPS figure

Teaching reform of safety engineering specialty based on Virtual Reality Technology

with the continuous development of science and technology, virtual reality technology arises at the historic moment and is widely used in the fi eld of professional education. It shows great vitality in enriching teaching forms and improving teaching eff ectiveness, which also provides good development enlightenment for the teaching of safety engineering in Colleges and universities. Professional teachers should be based on the educational background of the information age, face the characteristics and connotation of virtual reality technology, and do a good job of its infi ltration in professional theory and practice courses, so as to ensure the eff ectiveness of education, and lay a scientifi c and technological keynote for the improvement of students’ professional quality and comprehensive ability. In view of this, this paper analyzes the teaching reform of safety engineering specialty based on virtual reality technology in detail, hoping to provide some valuable references for teachers and friends

Exploration on the upgrading of personnel training mode of safety engineering specialty from the perspective of Internet +

in the context of the Internet + era, in order to eff ectively respond to the new situation of upgrading the personnel training mode of safety engineering major in Colleges and universities, and fundamentally solve the problems of single personnel training mode, low enthusiasm of students and unsatisfactory teaching quality of the major, Based on the in-depth analysis of the current situation of personnel training of traditional safety engineering specialty, this paper explores a new path of professional personnel training under the condition of Internet popularization, puts forward the positioning of innovative talents, and comprehensively reforms the teaching content of personnel training of safety engineering specialty, It is believed that this has important guiding signifi cance for the cultivation of modern talents and the improvement of the adaptability of talents to future jobs

The Energy of a Trapped Interacting Bose Gas

A Bose gas in an external potential is studied by means of the semi-classical approximation. Analytical results are derived for the energy of an interacting Bose gas in a generic power-law trapping potential. An expression for the chemical potential below the critical temperature is also obtained. The theoretical results are in qualitative agreement with a recent energy measurement.Comment: 6 pages, REVTex, one figure

Critical Temperature of a Trapped Interacting Bose Gas in the Local Density Approximation

The Bose gas in an external potential is studied by means of the local density approximation. An analytical result is derived for the dependence of the critical temperature of Bose-Einstein condensation on the mutual interaction in a generic power-law potential.Comment: 6 pages, latex, no figure

Genome-wide interaction study of a proxy for stress-sensitivity and its prediction of major depressive disorder

Individual response to stress is correlated with neuroticism and is an important predictor of both neuroticism and the onset of major depressive disorder (MDD). Identification of the genetics underpinning individual differences in response to negative events (stress-sensitivity) may improve our understanding of the molecular pathways involved, and its association with stress-related illnesses. We sought to generate a proxy for stress-sensitivity through modelling the interaction between SNP allele and MDD status on neuroticism score in order to identify genetic variants that contribute to the higher neuroticism seen in individuals with a lifetime diagnosis of depression compared to unaffected individuals. Meta-analysis of genome-wide interaction studies (GWIS) in UK Biobank (N = 23,092) and Generation Scotland: Scottish Family Health Study (N = 7,155) identified no genome-wide significance SNP interactions. However, gene-based tests identified a genome-wide significant gene, ZNF366, a negative regulator of glucocorticoid receptor function implicated in alcohol dependence (p = 1.48x10-7; Bonferroni-corrected significance threshold p < 2.79x10-6). Using summary statistics from the stress-sensitivity term of the GWIS, SNP heritability for stress-sensitivity was estimated at 5.0%. In models fitting polygenic risk scores of both MDD and neuroticism derived from independent GWAS, we show that polygenic risk scores derived from the UK Biobank stress-sensitivity GWIS significantly improved the prediction of MDD in Generation Scotland. This study may improve interpretation of larger genome-wide association studies of MDD and other stress-related illnesses, and the understanding of the etiological mechanisms underpinning stress-sensitivity